Devaughn is 8 years younger than sydney. the sum of their ages is 56. what is sydney's age?

 The answer is 32 years.

Step-by-step explanation:  Given that Devaughn is 8 years younger than Sydney and the sum of their ages is 56. We are to find the age of Sydney.

Let 'x' years and 'y' years be the age of Devaughn and Sydney respectively.

The, from the given information, we have

Adding the above two equations, we have

Thus, the age of Sydney is 32 years.

Sydney's age is 32.

Step-by-step explanation:

 Let S = Sydney's age  

and D =  Devaughn's age

We have two conditions.

(1)  D = S - 8

(2) D + S = 56

Substitute Equation (1) into Equation (2)

S - 8 + S = 56

Combine like terms

2S - 8 = 56

Add 8 to each side

2S = 64

Divide each side by 2

(3) S = 32

Sydney's age is 32.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc